Pith Number

pith:GUBLK4OQ

pith:2014:GUBLK4OQZVQVSHDPVZZVRFFX5B

not attested not anchored not stored refs pending

Integrable clusters

Arkady Berenstein, David Kazhdan, Jacob Greenstein

arxiv:1412.0302 v1 · 2014-11-30 · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUBLK4OQZVQVSHDPVZZVRFFX5B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:19:48.035724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3502b571d0cd61591c6fae735894b7e861ffd68765e7ef677c8935722594259c

Aliases

arxiv: 1412.0302 · arxiv_version: 1412.0302v1 · doi: 10.48550/arxiv.1412.0302 · pith_short_12: GUBLK4OQZVQV · pith_short_16: GUBLK4OQZVQVSHDP · pith_short_8: GUBLK4OQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GUBLK4OQZVQVSHDPVZZVRFFX5B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3502b571d0cd61591c6fae735894b7e861ffd68765e7ef677c8935722594259c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f77172cdf6986a36d249c85a808203c6d939083c7007cb2e187843607420a6d1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-30T22:54:04Z",
    "title_canon_sha256": "2b850bf3507de5ed2fdb25dcd8f708627879e806972465560a67e3aac5ebb56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0302",
    "kind": "arxiv",
    "version": 1
  }
}